An Introductory Course in Functional Analysis (Universitext) - Tapa blanda

Bowers, Adam; Kalton, Nigel J.

 
9781493919444: An Introductory Course in Functional Analysis (Universitext)
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ISBN 10: 149391944X ISBN 13: 9781493919444
Editorial: Springer, 2014

Sinopsis

Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn–Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman–Pettis theorem.

With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.

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Acerca del autor

Nigel Kalton (1946–2010) was Curators' Professor of Mathematics at the University of Missouri. Adam Bowers is a mathematics lecturer at the University of California, San Diego.

De la contraportada

Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman Pettis theorem.

With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2014
Idioma
Inglés
ISBN 10 
149391944X
ISBN 13 
9781493919444
Encuadernación
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Número de páginas
248
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9781493919468: An Introductory Course in Functional Analysis

Edición Destacada

ISBN 10:  1493919466 ISBN 13:  9781493919468
Editorial: Springer, 2014
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